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Finding the Fourth Proportional to 82,051.76, 123,077.64 and 19,722.26

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Solution

The fourth proportional to 82,051.76, 123,077.64 and 19,722.26 is: 29,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,051.76 : 123,077.64 = 19,722.26 : x
  2. Step 2: Convert to fraction form
    82,051.76/123,077.64 = 19,722.26/x
  3. Step 3: Cross multiply
    82,051.76x = 123,077.64 × 19,722.26
  4. Step 4: Simplify right side
    82,051.76x = 2,427,369,216.27
  5. Step 5: Solve for x
    x = 2,427,369,216.27/82,051.76
  6. Step 6: Final answer
    x = 29,583.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.